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3640 = 235713
BaseRepresentation
bin111000111000
311222211
4320320
5104030
624504
713420
oct7070
94884
103640
11280a
122134
131870
141480
15112a
hexe38

3640 has 32 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1152.

The previous prime is 3637. The next prime is 3643. The reversal of 3640 is 463.

3640 is nontrivially palindromic in base 3 and base 9.

3640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3637) and next prime (3643).

It is a Harshad number since it is a multiple of its sum of digits (13).

3640 is an undulating number in base 8.

It is a plaindrome in base 15.

It is a zygodrome in base 2 and base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

3640 is an abundant number, since it is smaller than the sum of its proper divisors (6440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3640 is a wasteful number, since it uses less digits than its factorization.

3640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3640 is about 60.3324125160. The cubic root of 3640 is about 15.3827433620.

The spelling of 3640 in words is "three thousand, six hundred forty".